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    Question

    Find the difference between angle and its complement if

    the angle is five-thirteenth of its complement.
    A 30° Correct Answer Incorrect Answer
    B 40° Correct Answer Incorrect Answer
    C 42° Correct Answer Incorrect Answer
    D 45° Correct Answer Incorrect Answer

    Solution

    Let the angle be 'A'.

    Complement of 'A' = 90° - A

    So, 'A' = (5/13) X (90° - A)

    Or, 13A = 450° - 5A

    Or, 18A = 450°

    Or, 'A' = 25°

    Complement of 'A' = 90° - 25° = 65°

    Required difference = 65° - 25° = 40°

    Hence, option b.

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